542105253 has 24 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 352740960.

The previous prime is 542105243. The next prime is 542105273. The reversal of 542105253 is 352501245.

It is a happy number.

It is not a de Polignac number, because 542105253 - 2¹⁰ = 542104229 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542105233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92068 + ... + 97778.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^542105253 is an apocalyptic number.

542105253 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

542105253 is a deficient number, since it is larger than the sum of its proper divisors (259859547).

542105253 is a wasteful number, since it uses less digits than its factorization.

542105253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 542105253 is about 23283.1538456456. The cubic root of 542105253 is about 815.3821600918.

Adding to 542105253 its reverse (352501245), we get a palindrome (894606498).

The spelling of 542105253 in words is "five hundred forty-two million, one hundred five thousand, two hundred fifty-three".